1078138152 has 192 divisors, whose sum is σ = 3656016000. Its totient is φ = 279424512.

The previous prime is 1078138141. The next prime is 1078138157. The reversal of 1078138152 is 2518318701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1078138157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385174 + ... + 387962.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 2^1078138152 is an apocalyptic number.

1078138152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1078138152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000).

1078138152 is an abundant number, since it is smaller than the sum of its proper divisors (2577877848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1078138152 is a wasteful number, since it uses less digits than its factorization.

1078138152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1078138152 is about 32835.0141160317. The cubic root of 1078138152 is about 1025.3956519773.

The spelling of 1078138152 in words is "one billion, seventy-eight million, one hundred thirty-eight thousand, one hundred fifty-two".